Maxime Fortier Bourque

most citedKissing numbers of closed hyperbolic manifolds

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.GT2019

A divergent horocycle in the horofunction compactification of the Teichmüller metric

Maxime Fortier Bourque

We give an example of a horocycle in the Teichmüller space of the five-times-punctured sphere that does not converge in the Gardiner--Masur compactification, or equivalently in the…

math.GT2019★ 1 cited

Kissing numbers of closed hyperbolic manifolds

Maxime Fortier Bourque, Bram Petri

We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of P…

math.GT2019

Hyperbolic surfaces with sublinearly many systoles that fill

Maxime Fortier Bourque

For any $ε > 0$ , we construct a closed hyperbolic surface of genus $g = g (ε)$ with a set of at most $ε g$ systoles that fill, meaning that each component…